Use the image to answer the question.
A vertical line separates 2 triangles. The triangle to the left of the line is made up of points upper A, upper B, and upper C, while the triangle on the right is made up of points upper A prime, upper B prime, and upper C prime.
Triangle ABC
has been reflected over a vertical line of reflection. The coordinates of vertices A
, B
, C
, and B′
are shown. What are the coordinates of vertex A′
?
(1 point)
The coordinates of vertex A′
are (
,
).
Since triangle ABC has been reflected over a vertical line, we can see that the x-coordinates of A and A' are the same. Therefore, the coordinates of vertex A' are (A's x-coordinate, A's y-coordinate), which can be written as (A's x-coordinate, A's y-coordinate) or (A's x-coordinate, C's y-coordinate).
Unfortunately, the image you mentioned is not visible in this text-based format. However, I can still guide you through finding the coordinates of vertex A′ based on the information provided.
To reflect a point over a vertical line, you need to keep the x-coordinate the same while changing the sign of the y-coordinate.
If vertex A has coordinates (x1, y1), and vertex A' is its reflection over a vertical line, the coordinates of A' will be (x1, -y1). So, the y-coordinate of A' will be the opposite sign of the y-coordinate of A.
Since you didn't mention the specific coordinates of vertex A, I'm unable to provide you with the exact coordinates of vertex A'. However, using the information above, you can find the coordinates of A' by reflecting the y-coordinate of vertex A over the vertical line.
Let's assume the y-coordinate of vertex A is y1. Then, the y-coordinate of A' will be -y1.